This would be a very good idea.  Especially to recognise Bitocin is in fact fiat itself.  Most wont like that, but its true, in that its not commodity based currency and its value is backed by regulation, albeit the protocol rather than government mandate.  Its a constant source of amusement that people rile against fiat when they are being pro bitcoin, apparently not realising the meaning of fiat.

By calling out "gov currency" its clearer to people what you mean and the separation from Bitcoin is technically more correct.